Question

question 3 (1 point)
what is the mass of an object that weighs 250 n on the surface of the earth where
the acceleration due to gravity is 9.80 m/s2?

250 kg
24.5 kg
25.5 kg
2,450 kg

Explanation:

Step1: Recall the formula for weight

The weight \( W \) of an object is given by the formula \( W = m \cdot g \), where \( m \) is the mass and \( g \) is the acceleration due to gravity. We need to solve for \( m \), so we rearrange the formula to \( m=\frac{W}{g} \).

Step2: Substitute the given values

We know that \( W = 250\ N \) and \( g = 9.80\ m/s^2 \). Substituting these values into the formula, we get \( m=\frac{250}{9.80} \).

Step3: Calculate the mass

Calculating \( \frac{250}{9.80}\approx25.5\ kg \)? Wait, no, wait: \( 250\div9.80\approx25.51\approx25.5\ kg \)? Wait, no, let's do the calculation again. \( 250\div9.8 = \frac{2500}{98}=\frac{1250}{49}\approx25.51\approx25.5\ kg \)? Wait, but let's check the options. Wait, maybe I made a mistake. Wait, \( W = mg \), so \( m=\frac{W}{g}=\frac{250\ N}{9.80\ m/s^2}\approx25.5\ kg \)? Wait, but let's check the options. The options are 250 kg, 24.5 kg, 25.5 kg, 2450 kg. Wait, 250 divided by 9.8 is approximately 25.5. So the correct option is 25.5 kg. Wait, but let's recalculate: \( 9.8\times25.5 = 9.8\times25 + 9.8\times0.5=245 + 4.9 = 249.9\approx250\ N \). Yes, that's correct. So the mass is approximately 25.5 kg.

Answer:

25.5 kg (the option corresponding to this value, i.e., the option with "25.5 kg")